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Finding the Fourth Proportional to 7,826.08, 11,739.04 and 2,354.08

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Solution

The fourth proportional to 7,826.08, 11,739.04 and 2,354.08 is: 3,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.08 : 11,739.04 = 2,354.08 : x
  2. Step 2: Convert to fraction form
    7,826.08/11,739.04 = 2,354.08/x
  3. Step 3: Cross multiply
    7,826.08x = 11,739.04 × 2,354.08
  4. Step 4: Simplify right side
    7,826.08x = 27,634,639.28
  5. Step 5: Solve for x
    x = 27,634,639.28/7,826.08
  6. Step 6: Final answer
    x = 3,531.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.